Solve for x

Question

ln(x+1)/ ln(x-1) = 2

Answer 1

ln(x+1)/ln(x-1) = 2
ln(x+1) = 2ln(x-1)
x+1 = (x-1)^2
x+1 = x^2-2x+1
x^2-3x = 0
x = 0 or 3

check:

ln(1)/ln(0) = 2
Not a solution

ln(4)/ln(2) = 2
ln(2^2)/ln(2) = 2
2ln2/ln2 = 2
yes